lyap
lyap(A, C)
Computes the solution X to the continuous Lyapunov equation AX + XA' + C = 0, where no eigenvalue of A has a zero real part and no two eigenvalues are negative complex conjugates of each other.
Examples
julia> A = [1 2; 3 4];
julia> C = [5 6; 7 8];
julia> X = lyap(A, C)
2×2 Array{Float64,2}:
-32.0 -44.0
-52.0 -72.0In this example, the lyap function computes the solution X to the continuous Lyapunov equation AX + XA' + C = 0, where A is a 2x2 matrix and C is another 2x2 matrix.
The function returns the resulting matrix X, which satisfies the Lyapunov equation.
Note: The specific values in the example are arbitrary and provided for demonstration purposes. The actual values will depend on the input matrices A and C.
See Also
Ac_ldiv_B, Ac_ldiv_Bc, Ac_mul_B, Ac_mul_Bc, Ac_rdiv_B, Ac_rdiv_Bc, At_ldiv_B, At_ldiv_Bt, At_mul_B, At_mul_Bt, At_rdiv_B, At_rdiv_Bt, A_ldiv_Bc, A_ldiv_Bt, A_mul_B!, A_mul_Bc, A_mul_Bt, A_rdiv_Bc, A_rdiv_Bt, Bidiagonal, cond, conv2, det, diag, diagind, diagm, diff, eig, eigvals, eigvecs, expm, eye, full, inv, isdiag, ishermitian, isposdef, isposdef!, issym, istril, istriu, logabsdet, logdet, lyap, norm, qrfact, rank, repmat, rot180, rotl90, rotr90, sortrows, sqrtm, SymTridiagonal, trace, Tridiagonal, tril, tril!, triu, triu!, writedlm,User Contributed Notes
Add a Note
The format of note supported is markdown, use triple backtick to start and end a code block.